Abstract
AbstractIn this paper, weak sharp solutions are investigated for a variational-type inequality governed by $(\rho , \mathbf{b}, \mathbf{d})$(ρ,b,d)-convex path-independent curvilinear integral functional. Moreover, an equivalence between the minimum principle sufficiency property and the weak sharpness property of the solution set associated with the considered variational-type inequality is established.
Funder
University Politehnica of Bucharest
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference17 articles.
1. Alshahrani, M., Al-Homidan, S., Ansari, Q.H.: Minimum and maximum principle sufficiency properties for nonsmooth variational inequalities. Optim. Lett. 10, 805–819 (2016)
2. Ansari, Q.H.: An introduction to variational-like inequalities. In: Abdullah, S., Al-Mezel, R., Al-Solamy, F.R.M., Ansari, Q.H. (eds.) Fixed Point Theory, Variational Analysis, and Optimization. CRC Press, Boca Raton (2014)
3. Burke, J.V., Ferris, M.C.: Weak sharp minima in mathematical programming. SIAM J. Control Optim. 31, 1340–1359 (1993)
4. Graduate Texts in Mathematics;F.H. Clarke,2013
5. Ferris, M.C., Mangasarian, O.L.: Minimum principle sufficiency. Math. Program. 57, 1–14 (1992)
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